**Ordering Numbers Up to Billions: From Smallest to Greatest**

Hello 4th graders! Today, we’re going to learn how to order numbers up to billions from smallest to greatest. Just like comparing smaller numbers, ordering larger numbers follows the same steps, but we’ll be working with more digits. Let’s go through an example together!

### Example: Ordering Numbers

Imagine we have these four numbers:

- 7,231,045,678
- 7,234,567,890
- 7,230,000,001
- 7,233,999,999

Our goal is to order them from the smallest to the greatest.

### Step 1: Compare the Billions Place

All four numbers start with 7 billion, so we’ll look at the next place value: the hundred millions place.

### Step 2: Compare the Hundred Millions Place

Here, we can see that the first digit in the hundred millions place is the same (2), so we move on to the next place value: the millions place.

### Step 3: Compare the Millions Place

Now, let’s look at the millions place:

- 7,231,045,678 has 231 million
- 7,234,567,890 has 234 million
- 7,230,000,001 has 230 million
- 7,233,999,999 has 233 million

Now we can start to order them! The smallest number is 7,230,000,001 because 230 million is the least.

### Step 4: Compare the Remaining Numbers

Next, we compare the remaining three numbers:

- 7,231,045,678 is next because 231 million is less than 233 million and 234 million.
- 7,233,999,999 comes next because 233 million is less than 234 million.
- Lastly, 7,234,567,890 is the greatest because 234 million is the largest.

### Final Order

Now that we’ve compared all the numbers, the correct order from smallest to greatest is:

- 7,230,000,001
- 7,231,045,678
- 7,233,999,999
- 7,234,567,890

### Remember:

- Start with the leftmost digits (billions place) and compare.
- If they are the same, move to the next place value until you find a difference.
- Keep going until all numbers are ordered from smallest to greatest.

Now it’s your turn! Practice ordering numbers up to billions and see how quickly you can find the right order!

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